Jawapan:
#sin (cos ^ -1 (sqrt (5) / 5)) = (2sqrt (5)) / 5 #
Penjelasan:
Biarkan # cos ^ -1 (sqrt (5) / 5) = A # kemudian # cosA = sqrt (5) / 5 #
dan # sinA = sqrt (1-cos ^ 2A) = sqrt (1- (sqrt (5) / 5) ^ 2) = (2sqrt (5)
# rarrA = sin ^ -1 ((2sqrt (5)) / 5) #
Sekarang, = sin (-1) (2sqrt (5)) / 5)) = (2sqrt (5) / 5 #
